Modeling the dynamics of wireless power transfer using a generalized average model of high-Q resonators

Modeling the dynamics of wireless power transfer (WPT) is required by the dynamical control of WPT systems. However, conventional modeling methods for the dynamics of WPT suffer from the order increase problem and complicated derivations and expressions. This paper proposes a much simpler modeling method by using a generalized average model of high-Q resonators, which are common components in WPT systems. The proposed method can be easily adopted in systems with various topologies. A pulse density modulated WPT system is modeled as an example. The derived system model includes not only the resonant tanks but also the power converters, and is expressed by a lower order model with more concise formulae as compared to existing dynamical models.